الفهرس 
Introduction and BackgroundOnly 14 pages are availabe for public view
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Abstract
This Thesis presents an explanation of the scaled boundary finite element method(SBFEM) as a method to solve unbounded domain problems subjected to dynamic loads with application on dynamic soil structure interaction problems in time domain. A complete derivation of the SBFE equations for unit impulse response function M (t) is made; the equations are solved numerically assuming the unit impulse response function as piece wise linear taking the advantage that M (t) becomes nearly linear after a certain time [22], where the time step used in calculating the unit impulse is greater than that used in calculating the response,which reduces the time of analysis greatly. The response of the unbounded domain is calculated, where the force displacement relationship is calculated at each time step using integration by parts [22]. Also coupling between the finite element method (FEM) and the SBFEM is used.A program made by the author is used to solve the problems using the SBFEM and the coupled FE/SBFE methods using MATLAB. Some benchmark problems are solved as a validation; also some practical problems are solved to show the efficiency of the method, where the solution is checked using Finite element method. Good agreement is achieved between results in case of benchmark problems and the practical problems. So, the scaled boundary finite element method is an acceptable method in modelling soil structure interaction problems and also it saves a lot of time in comparison to finite element method.